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6713635451376 = 2437277419172157
BaseRepresentation
bin110000110110010001111…
…0110110011000111110000
3212202211001210112122111210
41201230203312303013300
51334444011133421001
622140111311240120
71262021100523230
oct141544366630760
925684053478453
106713635451376
112159267208527
12905192b19040
1339912972a659
14192d27dd3cc0
15b9985163dd6
hex61b23db31f0

6713635451376 has 160 divisors (see below), whose sum is σ = 19940358735360. Its totient is φ = 1906684167168.

The previous prime is 6713635451357. The next prime is 6713635451389. The reversal of 6713635451376 is 6731545363176.

It is a happy number.

It is a super-4 number, since 4×67136354513764 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38911090 + ... + 39083246.

It is an arithmetic number, because the mean of its divisors is an integer number (124627242096).

Almost surely, 26713635451376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6713635451376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970179367680).

6713635451376 is an abundant number, since it is smaller than the sum of its proper divisors (13226723283984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6713635451376 is a wasteful number, since it uses less digits than its factorization.

6713635451376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172871 (or 172865 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 57.

The spelling of 6713635451376 in words is "six trillion, seven hundred thirteen billion, six hundred thirty-five million, four hundred fifty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 336 419 554 831 838 1108 1257 1662 1676 1939 2216 2514 2933 3324 3352 3878 4432 5028 5817 5866 6648 6704 7756 8799 10056 11634 11732 13296 15512 17598 20112 23268 23464 31024 35196 46536 46928 70392 93072 116063 140784 172157 232126 344314 348189 464252 516471 688628 696378 812441 928504 1032942 1205099 1377256 1392756 1624882 1857008 2065884 2410198 2437323 2754512 2785512 3249764 3615297 4131768 4820396 4874646 5571024 6499528 7230594 8263536 9640792 9749292 12999056 14461188 19281584 19498584 28922376 38997168 47687489 57844752 72133783 95374978 143062467 144267566 190749956 216401349 286124934 288535132 333812423 381499912 432802698 504936481 572249868 577070264 667624846 762999824 865605396 1001437269 1009872962 1144499736 1154140528 1335249692 1514809443 1731210792 2002874538 2019745924 2288999472 2670499384 3029618886 3462421584 4005749076 4039491848 5340998768 6059237772 8011498152 8078983696 12118475544 16022996304 19981057891 24236951088 39962115782 59943173673 79924231564 119886347346 139867405237 159848463128 239772694692 279734810474 319696926256 419602215711 479545389384 559469620948 839204431422 959090778768 1118939241896 1678408862844 2237878483792 3356817725688 6713635451376